Russian Mathematics

, Volume 62, Issue 4, pp 74–85 | Cite as

Solvability of Linear Matrix Boundary-Value Problem



We find solvability conditions and give a construction of generalized Green operator for a linear matrix boundary-value problem. We suggest an operator which reduces a linear matrix equation to a standard linearNoetherian boundary-value problem. To solve a linearmatrix systemwe use an operatorwhich reduces a linear matrix equation to a linear algebraic equation with rectangular matrix.


Green operator Noetherian boundary-value problem,matrix differential equation 


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© Allerton Press, Inc. 2018

Authors and Affiliations

  1. 1.Donbass State Pedagogical UniversitySlavyanskUkraine

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